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Simplifying 7(x + 8) + -4(x + -3) = 77 Reorder the terms: 7(8 + x) + -4(x + -3) = 77 (8 * 7 + x * 7) + -4(x + -3) = 77 (56 + 7x) + -4(x + -3) = 77 Reorder the terms: 56 + 7x + -4(-3 + x) = 77 56 + 7x + (-3 * -4 + x * -4) = 77 56 + 7x + (12 + -4x) = 77 Reorder the terms: 56 + 12 + 7x + -4x = 77 Combine like terms: 56 + 12 = 68 68 + 7x + -4x = 77 Combine like terms: 7x + -4x = 3x 68 + 3x = 77 Solving 68 + 3x = 77 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + 3x = 77 + -68 Combine like terms: 68 + -68 = 0 0 + 3x = 77 + -68 3x = 77 + -68 Combine like terms: 77 + -68 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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